Numerical

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1.
In 8 throws of a die, P(getting exactly 3 fives) equals:
2.
P(A) = 0.4, P(B|A) = 0.6, P(B|A') = 0.4. Find P(A|B).
3.
X ~ B(4, 1/2). P(X <= 2) is:
4.
From 6 men and 4 women, a committee of 4 is formed. P(committee has at least 2 women)?
5.
Urn A: 1 white, 2 red. Urn B: 2 white, 1 red. Urn C: 3 white, 0 red. An urn is chosen (equal probability) and 2 balls drawn without replacement. Both are white. P(from Urn C)?

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